What is the Greatest Common Factor of 56645 and 56665?

Greatest common factor (GCF) of 56645 and 56665 is 5.

GCF(56645,56665) = 5

We will now calculate the prime factors of 56645 and 56665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56645 and 56665.

How to find the GCF of 56645 and 56665?

We will first find the prime factorization of 56645 and 56665. After we will calculate the factors of 56645 and 56665 and find the biggest common factor number .

Step-1: Prime Factorization of 56645

Prime factors of 56645 are 5, 11329. Prime factorization of 56645 in exponential form is:

56645 = 5¹ × 11329¹

Step-2: Prime Factorization of 56665

Prime factors of 56665 are 5, 7, 1619. Prime factorization of 56665 in exponential form is:

56665 = 5¹ × 7¹ × 1619¹

Step-3: Factors of 56645

List of positive integer factors of 56645 that divides 56645 without a remainder.

1, 5, 11329

Step-4: Factors of 56665

List of positive integer factors of 56665 that divides 56645 without a remainder.

1, 5, 7, 35, 1619, 8095, 11333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56645 and 56665. The biggest common factor number is the GCF number.
So the greatest common factor 56645 and 56665 is 5.

Also check out the Least Common Multiple of 56645 and 56665